Enumerative meaning of mirror maps for toric Calabi-Yau manifolds

Details Enumerative meaning of mirror maps for toric Calabi-Yau manifolds Enumerative meaning of mirror maps for toric Calabi-Yau manifolds

2011-10-20

arxiv.org/abs/1110.4439v1

Mathematics

Symplectic Geometry

13 pages

Scientific paper

We prove Conjecture 1.1 in [Chan-Lau-Leung] for toric Calabi-Yau manifolds of
the form $K_Y$ where $Y$ is a toric Fano manifold. In particular, we show that
the coefficients of the Taylor series expansions of the inverse mirror map for
$K_Y$ can be expressed in terms of disk open Gromov-Witten invariants defined
by Fukaya-Oh-Ohta-Ono.

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